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The pion mass and decay constant at three loops in two-flavour chiral perturbation theory

Bijnens, Johan LU orcid and Truedsson, Nils Hermansson LU orcid (2017) In Journal of High Energy Physics 2017(11).
Abstract

A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parametrizations of the Goldstone matrix field, as well as by comparing to the known leading log coefficients of the two quantities. A small numerical study of the quark mass dependence is performed, and for a physical quark mass there is good agreement with lower order results.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Chiral Lagrangians, Effective Field Theories
in
Journal of High Energy Physics
volume
2017
issue
11
article number
181
publisher
Springer
external identifiers
  • scopus:85036669766
  • wos:000416361000011
ISSN
1029-8479
DOI
10.1007/JHEP11(2017)181
project
Higher Order Calculations for Low Energy Precision Physics
language
English
LU publication?
yes
id
8d2789ea-6f88-4822-98f2-97d24c4632f1
date added to LUP
2018-01-02 09:02:59
date last changed
2025-01-08 01:01:57
@article{8d2789ea-6f88-4822-98f2-97d24c4632f1,
  abstract     = {{<p>A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parametrizations of the Goldstone matrix field, as well as by comparing to the known leading log coefficients of the two quantities. A small numerical study of the quark mass dependence is performed, and for a physical quark mass there is good agreement with lower order results.</p>}},
  author       = {{Bijnens, Johan and Truedsson, Nils Hermansson}},
  issn         = {{1029-8479}},
  keywords     = {{Chiral Lagrangians; Effective Field Theories}},
  language     = {{eng}},
  month        = {{11}},
  number       = {{11}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{The pion mass and decay constant at three loops in two-flavour chiral perturbation theory}},
  url          = {{http://dx.doi.org/10.1007/JHEP11(2017)181}},
  doi          = {{10.1007/JHEP11(2017)181}},
  volume       = {{2017}},
  year         = {{2017}},
}